Cheenta Blog Since 2010

Mathematics is Beautiful
University Application
Guides
Books
ISI Entrance
Math Olympiad
বাংলা
November 28, 2018
ISI - CMI entrance Book List

ISI - CMI entrance book list is useful for B.Stat and B.Math Entrance of Indian Statistical Institute, B.Sc. Math Entrance of Chennai Mathematical Institute

Read More
November 21, 2018
AM GM Inequality, Euler Number - Stories in Real Analysis

A.M.- G.M. Inequality can be used to prove the existence of Euler Number. A fascinating journey from classical inequalities to invention of one of the most important numbers in mathematics!

Read More
November 19, 2018
Homework, Duality, Euler Number and Cheenta this week!

Hello mathematician! I do not like homework. They are boring ‘to do’ and infinitely more boring to ‘create and grade’. I would rather read Hilbert’s ‘Geometry and Imagination’ or Abanindranath’s ‘Khirer Putul’ at that time. Academy Award winner Michael Moore, Rabindranath Tagore and Finland’s educators (who have the number 1 education system for school students) are […]

Read More
November 16, 2018
Lets invent Euler Number!

Do you want to invent new numbers and new functions? The story of how any age old banking formula led to the discovering of real analysis!

Read More
October 28, 2018
Golden Ratio and Right Triangles - when geometry meets number theory

The golden ratio is arguably the third most interesting number in mathematics. We explore a beautiful problem connecting Number Theory and Geometry.

Read More
October 12, 2018
I.S.I Entrance Solution - locus of a moving point

This is an I.S.I. Entrance Solution Problem: P is a variable point on a circle C and Q is a fixed point on the outside of C. R is a point in PQ dividing it in the ratio p:q, where p> 0 and q > 0 are fixed. Then the locus of R is (A) […]

Read More
September 1, 2018
I.S.I. Entrance Solution Sequence of isosceles triangles -2018 Problem 6
Read More
August 29, 2018
I.S.I. Entrance 2018 Problem 7 | Bases, Exponents and Role reversals

This is a problem from ISI B.Stat-B.Math Entrance Exam 2018, Subjective Problem 7. It is based on Bases, Exponents and Role reversals. I.S.I. Entrance 2018 Problem 7 Let $(a, b, c)$ are natural numbers such that $(a^{2}+b^{2}=c^{2})$ and $(c-b=1)$. Prove that(i) a is odd.(ii) b is divisible by 4(iii) $( a^{b}+b^{a} )$ is divisible by […]

Read More
August 24, 2018
Euler limit | Problem based on Euler's number
Read More
August 19, 2018
Pre RMO 2018 Solutions

Pre RMO 2018 Find the problems, discussions and relevant theoretical expositions related to Pre-RMO 2018. Problems of Pre RMO 1. A book is published in three volumes, the pages being numbered from 1 onwards. The page numbers are continued from the first volume to the third. The number of pages in the second volume is […]

Read More
May 28, 2020
Solving Equation | PRMO 2017 | Question 23

Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.

Read More
May 28, 2020
Reflection Problem | AIME I, 1988 | Question 14

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 14, based on Reflection.

Read More
May 27, 2020
Ordered Pairs | PRMO-2019 | Problem 18

Try this beautiful Number Theory problem from PRMO, 2019, problem-18, based on Ordered Pairs. You may use sequential hints to solve the problem.

Read More
May 27, 2020
Maximum area | PRMO-2019 | Problem 23

Try this beautiful Geometry problem from PRMO, 2019, problem-23, based on finding the maximum area. You may use sequential hints to solve the problem.

Read More
May 27, 2020
Rectangle Pattern | AMC-10A, 2016 | Problem 10

Try this beautiful problem from Geometry based on Rectangle Pattern from AMC-10A, 2016, Problem 10. You may use sequential hints to solve the problem.

Read More
May 27, 2020
Ratio of Circles | AMC-10A, 2009 | Problem 21

Try this beautiful problem from Geometry: Ratio of area of Circles from AMC-10A, 2009, Problem 21. You may use sequential hints to solve the problem.

Read More
May 27, 2020
Problem on Complex plane | AIME I, 1988| Question 11

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 11, based on Complex plane.

Read More
May 21, 2020
Quadratic Equation Problem | AMC-10A, 2005 | Problem 10

Try this beautiful problem from algebra, based on Quadratic equation from AMC-10A, 2005. You may use sequential hints to solve the problem.

Read More
May 21, 2020
Probability in Game | AMC-10A, 2005 | Problem 18

Try this beautiful problem based on Probability in game from AMC-10A, 2005. You may use sequential hints to solve the problem.

Read More
May 21, 2020
Covex Cyclic Quadrilateral | PRMO 2019 | Question 23

Try this beautiful problem from the Pre-RMO, 2019 based on Covex Cyclic Quadrilateral. You may use sequential hints to solve the problem.

Read More
© 2010 - 2025, Cheenta Academy. All rights reserved.
linkedin facebook pinterest youtube rss twitter instagram facebook-blank rss-blank linkedin-blank pinterest youtube twitter instagram